Question

In: Computer Science

Represent the following numbers in IEEE half-precision floating point. Indicate problems where you run into them....

Represent the following numbers in IEEE half-precision floating point. Indicate problems where you run into them.

1

-10

55595472

-π (PI)

The speed of light in meters per second

Solutions

Expert Solution

55595472 This number cannot be represented in IEEE half precision floating point representation. The given number exceeds the range of half precision floating point representation.


Related Solutions

a newer version of IEEE 754 defines a half precision floating point format that is only...
a newer version of IEEE 754 defines a half precision floating point format that is only 16 bits wide. the left most bit is still the sign bit. the exponent is 5 bits wide and has a bias of 15, and the fraction is 10 bits long. A hidden 1 is assumed similar to single and double precision formats. what is the bit pattern to represent -0.5 using this format?
2. a) Represent the decimal value 47.375 as a single precision IEEE floating point number. Give...
2. a) Represent the decimal value 47.375 as a single precision IEEE floating point number. Give your answer in hexadecimal and show your work. b) Represent the decimal value 47.375 as a double precision IEEE floating point number. Give your answer in hexadecimal and show your work.
Given the following 32-bit binary sequences representing single precision IEEE 754 floating point numbers: a =...
Given the following 32-bit binary sequences representing single precision IEEE 754 floating point numbers: a = 0100 0000 1101 1000 0000 0000 0000 0000 b = 1011 1110 1110 0000 0000 0000 0000 0000 Perform the following arithmetic and show the results in both normalized binary format and IEEE 754 single-precision format. Show your steps. a)     a + b b)     a × b
Express the following two base 10 numbers in binary using the IEEE 754 single-precision floating point...
Express the following two base 10 numbers in binary using the IEEE 754 single-precision floating point format (i.e., 32 bits). Express your final answer in hexadecimal (e.g., 32’h????????). a) 68.3125 b) -19.675
Represent the following decimal numbers using IEEE-754 floating point representation. A. -0.375 B. -Infinity C. 17...
Represent the following decimal numbers using IEEE-754 floating point representation. A. -0.375 B. -Infinity C. 17 D. 5.25
Using IEEE 754 single precision floating point, write the hexadecimal representation for each of the following:...
Using IEEE 754 single precision floating point, write the hexadecimal representation for each of the following: a. Zero b. -2.0 (base 10) c. 256. 0078125 (base 10) d. Negative infinity
Determine the IEEE single and double floating point representation of the following numbers: a) -26.25 b)...
Determine the IEEE single and double floating point representation of the following numbers: a) -26.25 b) 15/2
Convert 1101.11011101 x 223 to IEEE Standard 754 for single-precision floating-point binary format. Convert the IEEE...
Convert 1101.11011101 x 223 to IEEE Standard 754 for single-precision floating-point binary format. Convert the IEEE Standard 754 number 11001010100011010101000000000000 to its decimal equivalent.
Determine the representation for the following decimal numbers in single-precision IEEE 754 format. Give them in...
Determine the representation for the following decimal numbers in single-precision IEEE 754 format. Give them in 32-bit binary and show the calculation. -10^(−8)
For IEEE 754 single-precision floating point, what is the hexadecimal representation of 27.101562? A. 35CCD001 B....
For IEEE 754 single-precision floating point, what is the hexadecimal representation of 27.101562? A. 35CCD001 B. 2F5C10D0 C. 41D8D000 D. 7DCA1111 E. None of the above
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT